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▹ Answer
<em>$2 + $0.90x = </em>
▹ Step-by-Step Explanation
$2 represents the starting cost and, $0.90x represents the amount paid for each mile driven.
Hope this helps!
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Answer:
a. 337/365 or 92.3%
Step-by-step explanation:
There are 365 days in a year. There are 28 days in February. So the number of non-February days is 365 − 28 = 337. The probability that a randomly selected person is not born in February is therefore 337/365 or 92.3%.
We are given the following functions:
![\begin{gathered} f(x)=7\sqrt[]{x}+6 \\ g(x)=x+6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D7%5Csqrt%5B%5D%7Bx%7D%2B6%20%5C%5C%20g%28x%29%3Dx%2B6%20%5Cend%7Bgathered%7D)
We are asked to determine the composite function:
The composition of functions is equivalent to:
Therefore, we replace the value of "x" in function "f" for the function "g", therefore, we get:
![(f\circ g)(x)=f(g(x))=7\sqrt[]{x+6}+6](https://tex.z-dn.net/?f=%28f%5Ccirc%20g%29%28x%29%3Df%28g%28x%29%29%3D7%5Csqrt%5B%5D%7Bx%2B6%7D%2B6)
Since we can't simplify any further this is the composition.
Now we are asked to determine the domain of this function. Since we have a square root, the domain must be the values of "x" where the term inside the radical is greater or equal to zero, therefore, we have:
Now we solve for "x" by subtracting 6 from both sides:
Therefore, the domain is:
Answer:
The length is 14 m.
Step-by-step explanation:
length = L
width = W
perimeter = P
"The perimeter of a rectangle is twice the sum of its length and its width."
P = 2(L + W)
"The perimeter is 40 meters"
40 = 2(L + W)
"and its length is 2 meters more than twice its width."
L = 2W + 2
Replace L with 2W + 2 in equation 40 = 2(L + W):
40 = 2(2W + 2 + W)
40 = 2(3W + 2)
20 = 3W + 2
3W = 18
W = 6
The width is 6 meters.
L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m
Answer: The length is 14 m.
Well first the initial fee would be the x, which is what we have to solve for. Each hour of work is $6, and she does four hours of work. This is equal to $32. The equation would look as follows...
x + 6(4) = 32
Once you have the equation start solving. Use the Pemdas method. First you have to multiply, so now the equation looks as follows...
x + 24 = 32
Now you have to get the x by itself. You do that by subtracting 24 from both sides, because what you do to one side, you do to the other. That will get you to the answer of...
x = 8
In conclusion, Carolina has an initial fee of $8.
Hope this helped.
